# Pre- Calculus

21,880 results, page 70

1. ### Calculus

find the limit of ((sqrt(x+4))-2)/x as x approaches 0.
2. ### calculus

consider the function f(x)=2x^2 +1. its tangent line at x=2 goes through the points (2,y1) and (-1,y2) where y1=?, y2=?
3. ### Calculus

Using a linear approximation or differentials, approximate:(26.98)^(3/4) thank you for your help!
4. ### Calculus

2) If f(x)=∫t^2dt on the interval from 4 to x^3 then f′(x)=?
5. ### Calculus

Find dy/dx by implicit differentiation: x^2-2xy+y^3 = c Thank you!
6. ### Calculus

same as my question below please help me post your answer on here if you have one on these forms of course h t t p : / / w w w . p h y s i c s f o r u m s . c o m / s h o w t h r e a d . p h p ? t = 4 2 1 7 6 3
7. ### calculus

find the domain of function f(x)= (5x + 4)/(x^2 + 3x + 2) is the answer.. x can't be -2 or -1?
8. ### calculus

I am having a problem with solving this Given the function f described by f(x)=x+3, find each of the following: f(0) f(-13) f(-12) f(1) f(4+8) can you help me please?
9. ### calculus

Find the limit as x approaches -4 of 4-lxl/4+x
10. ### calculus

What is the limit of this function as x approaches infinity? 2^x + x^3 / x^2 + 3^x
11. ### Calculus

Find the points of discontinuity. f(x) = { 16/x^2 if x ≥ 2 { 3x - 2 if x < 2
12. ### calculus

find the derivative of (x^2+1) 3rd root of x^2+2
13. ### Calculus

Determine the limit lim x->0 1-cos^2(3x)/x^2
14. ### Calculus

Reverse the order of the double integral (y+1) dx dy, where -1<= y <= 4 and y - 4 <= x <= 4y-y^2
15. ### calculus

Please help me find the derivative of f(x) = x^(2^x) I got to ln(f(x)) = 2^x(lnx) but now I'm stuck..
16. ### Calculus

Find one sided limit lim x->2+ 1/(1+e^(1/x-2))
17. ### Calculus

Determine the following limits if it exists. a. lim x-->5 (4x/x-5)
18. ### calculus

Find the derivative of the function. y = cos^4(¹t - 8)
19. ### Calculus

9)Evaluate the indefinite integral. ∫x^8e^(x^9)dx
20. ### Calculus

Find f(x)' of f(x)=x^x^x I logged both sides to get ln y = x^x ln x But I am not sure what step to do after that.
21. ### calculus

Let P= (V^2)R / (R+r)^2 Calculate dP/dr, assuming that r is variable and R is constant.
22. ### Calculus

Find limit as x approaches 5 (x^2-3x-10)/(x-5) A. 2 B. DNE C. 0 D. 7 E. None of these
23. ### Calculus

If f(x) = {x^2+3x-1, x<=2 and -3bx+3, x<2 , find the value of b in order for f to be continuous
24. ### Calculus

If f(x) = {x^2+3x-1, x<=2 and -3bx+3, x<2 , find the value of b in order for f to be continuous
25. ### calculus

limit of sin x / 2x squared - x as x approaches 0
26. ### Calculus

Find f'(x) for f(x)=(2x^2+5)^7 A. 7(4x)^6 B. 7(4x)^7 C. 28x(2x^2+5)^7 D. 7(2x^2+5)^6 E. None of these Would it be none of these because of the 4x in the chain rule?
27. ### calculus

sqrt(x^2 - 9) / x I need to solve this using the definition of a derivative [f(a+h) - f(a)]/h I can't seem to get it :\
28. ### Calculus

Evaluate the integral from 2/sqrt2 to 4; 1/(t^3 sqrt(t^2-4))?
29. ### Calculus

Find the derivative: f(x)=1/cubed root(3-x^3) A. -1/3(3-x^3)^4/3 B. x^2/(3-x^3)^4/3 C. -x^2/(3-x^3)^2/3 D. -x^2/(3-x^3)^4/3 E. None of these

31. ### Calculus

Find the value of a≥0 that maximizes the integral from 0 to a of (4-x²)dx. Thank you!
32. ### AP Calculus

Find f'(x): f(x)=(x^2-3x)/x^2 A. 2x-3/x^2 B. 2x-3/2x C. 1-(3/x) D. 3/x^2 E. None of these I get confused on the simplifying part.
33. ### Calculus

2) If f(x)=∫t^2dt not he integral from 4 to x^3 then f′(x)=?
34. ### calculus

the value of f(4) is negative, but the function is increasing rapidly at x=4
35. ### Calculus

find the area of the region. 2y=4sqrtx , y=3 and 2y+2x=6 ?
36. ### Calculus

11) Find the following indefinite integrals. ∫x/(x+9)^(1/2)dx
37. ### Calculus (derivatives)

find the slopes at the indicated points y = 3 + 5x - 3x^3 (0,3), (1/2, 41/8), (2,-11)
38. ### Calculus

What does this equation mean? X = Cos (T) * Phi ^ ((2 / Pi) * T) Y = Sin (T) * P
39. ### Calculus

use the intermediate value theorem to determine whether there is a zero f(x) = -3^3 - 6x^2 + 10x + 9 ; [-1,0]
40. ### Calculus 1

Given f(x)= 3e^(1-x^2)*ln(x), find the equation of the tangent line at x = 1.
41. ### calculus

What conditions must be satisfied by vectors u and v for this to be true? |u + v| >|u - v|
42. ### Calculus

Given vectors u= (t, 2t, 3) and v=(2t, 5t, -1). For what values of t a) are u and v parallel? b) are u and v perpendicular?
43. ### Calculus

Find the volume of the tetrahedron with verticies (1,1,2), (3,-4,6), (-7,0,-1) and (-1,5,8).
44. ### CALCULUS

Show that the quadrilateral with verticies at P(0,2,5), Q(1,6,2), R(7,4,2), and S(6,0,5) is a parallelogram.
45. ### Calculus

Resolve u=[3,4,7] into two orthogonal vectors, one of which is collinear with v=[1,2,3].
46. ### calculus

Need help asap! what is the limit as x approaches 0 of -x/tan(3x) ?
47. ### Calculus

Resolve u=[3,4,7] into two orthogonal vectors, one of which is collinear with v=[1,2,3].
48. ### calculus

9) Find all critical numbers of the function f(t)=9t^2/3+t^5/3
49. ### calculus

Given vectors u= (t, 2t, 3) and v=(2t, 5t, -1). For what values of t a) are u and v parallel? b) are u and v perpendicular?
50. ### Calculus

Suppose g (x) is increasing and concave up everywhere and g (A) = 9, g '(A) = 17, h = 0.01 estimate g(A-h)
51. ### Calculus

Find f''(1/2) using f(x) = ln(1-x). f'(x) = 1/(1-x) * -1 = -1/(1-x) so then using quotient rule: f''(x) = ((-1*-1) - ((1-x)(0))) / (1-x)^2 f''(1/2) = 1/(1-(1/2))^(2) = 4 Is this correct?
52. ### Calculus

find the point on the plane 5x+4y+z=12 that is nearest to (2,0,1)
53. ### Calculus

Find the slope of the curve f(x)=1/(x^2+3). My answer: (-2x)/(x^2+3)^2
54. ### calculus

how would you represent the area outside given y= 4cos(2theta) but outside y=4 ?
55. ### calculus

find the arc length from (x1,y2) to (x2,y2) on the graph F(x)=mx+b
56. ### Calculus

Calculate the integral of: ((x^2)tan(x))/(1+((cos(x))^4))
57. ### Calculus

Calculate the slope of the graph of f(x)=4-x^2 if x<1 and 2x+1 if x>1 at each of the following points: a.P(-1,3) b.P(2,5)
58. ### Calculus

Determine the following limits if it exists. a. lim x-->5 (4x/x-5)
59. ### Calculus

y=x^2-11x+30 For what values of x is y greater than or equal to 0?
60. ### Calculus

Find the area between the x-axis and the graph y = x^2 – x + 1 from x = 0 to x = 3.
61. ### Calculus I

Find numbers a and b such that: lim (sqrt(ax+b)-9)/x =1 x->0
62. ### calculus

find the derivative with respect to x: sqrt(x+s) = (1/x) + (1/s)

M-3 M+5 is less than or equal to 0
64. ### Calculus

Find the interval on which f(x)=xe^-x is increasing. I got (1,infinity)..
65. ### Calculus

find the critical numbers of the function: h(p)=p-1/p^2+4
66. ### Calculus

Use the product rule to find the derivative of the following. k(t)=(t^2-4)^2 k'(t)=
67. ### Calculus

Find the interval on which f(x)=xe^-x is increasing. I got (1,infinity)..
68. ### calculus

The function f(x) = (7 x+9)e^{-2 x} has one critical number. Find it.

70. ### Calculus

The equation of the tangent line to f(x) = \sqrt{x} at x = 64 is y =
71. ### Calculus

Evaluate the indefinite integral: INT dx/(64+x^2)^2
72. ### calculus

3) f(x)=x^(2)/6x^(2)+4. List the x values of the inflection points of f.
73. ### Calculus

f(x)= 6ln(2x+7ln(x)) I need to find the first derivative.
74. ### calculus

find cosx and sinx if tanx = 4
75. ### calculus

if f(x)=ln(x^3 +1) find f'(3), correct to 2 decimal places
76. ### calculus

Find the Maclaurin series of xcos(x^2).
77. ### Calculus

Find arccos (sqrt2/2). Can this be pi/4 and 7pi/4?
78. ### Calculus

How do you find the first and second derivative of the following function? P(t)=20/(1+3e^-0.02t)
79. ### Calculus 1

find an expression for a cubic function f if f(1)=6 and f(-1)=f(0)=f(2)=0
80. ### Calculus BC

s(t)=t^3 - 5/2 t^2 - 2t + 1 for all t>=0, 1. what was the displacement on 0<= t <= 4 2. at t =.5 is the function slowing down or speeding up?
81. ### calculus

Find d2y/dx2 in terms of x and y. y5 = x6
82. ### Calculus

Using Descartes' Rule of Signs, solve: f(x)=x^3+x^2-x+1.
83. ### calculus

Hi i need help for calcul with a Moivre's theorem: ( 1/2 ( -1 - i√3 )) ^3 thanks for your help
84. ### calculus

Find the derivative. Could you please show me the steps? y = ãx(5-ãx)
85. ### calculus

If f(1) > 0 and f(3) < 0, then there exists a number c between 1 and 3 such that f(c) = 0. Is this true or false? Please and thank you
86. ### calculus

discuss the curves under the headings given in this section y=x/x-1
87. ### Calculus 2

use the method of equating coefficients. integral of (x^3+5x^2+12)/((x^2)(x^2+4)) dx
88. ### Calculus

Find the derivative of f(x) = ln(48e3x − 11)
89. ### Calculus

Find the derivative of f(x) = ln(48e^3x − 11)
90. ### calculus

find the derivative of y=sqrt of arctan x

Find all the critical numbers for the following function. F(x) = (16 - x^2)^(3/5)
92. ### Calculus

Find all the relative extrema of f(x) = x = x3 – 3x2 + 4.
93. ### calculus

find the derivative of f(x)=cot(3x)csc^2(3x)
94. ### calculus

if f(x)=ln(x^3 +1) find f '(3), correct to 2 decimal places
95. ### Calculus

write the equation of line tangent to f(x)=(1/3x^3)-x^2+x-1 when x=1
96. ### Calculus

For the function g(x) = xe power x, there is inflection point at?
97. ### calculus help

Evaluate!!!! integral -10 to 10 ((2e^x)/(sinhx+coshx))dx Thanks!
98. ### Calculus AB

What are the six trigonometric functions of 2010 times pi?
99. ### math-calculus

(4)/(x-3)+(2)/(3-x) (4)/(x-3) + (2)/(-1)(-3+x) i factor out a negative 1 from 3-x. 4/(x-3)+ 2/(x-3) 6/x-3 it suppose to be 2/x-3 how i get that?
100. ### Calculus

Suppose that f(t)=Qoa^1=Qo(1+r)^t with f(4)=72.2 and f(10)=176.7. Find what a is and what r is.